QUESTION

Let V be the linear space of polynomials of degree ≤ 2 and let T : V → W be given by T(p) = q where q is a polynomial such that q(x) = Z x 0 p(s)ds. Is T linear? If so, for what W? If T is linear then derive its matrix of the linear map.

Public Answer

M0HK2B The First Answerer